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Finding the Fourth Proportional to 1,628.81, 2,443.61 and 935.92

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Solution

The fourth proportional to 1,628.81, 2,443.61 and 935.92 is: 1,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.81 : 2,443.61 = 935.92 : x
  2. Step 2: Convert to fraction form
    1,628.81/2,443.61 = 935.92/x
  3. Step 3: Cross multiply
    1,628.81x = 2,443.61 × 935.92
  4. Step 4: Simplify right side
    1,628.81x = 2,287,023.47
  5. Step 5: Solve for x
    x = 2,287,023.47/1,628.81
  6. Step 6: Final answer
    x = 1,404.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.